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Dissertations / Theses on the topic 'Navier Stoke'

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Published: 11 March 2023
Last updated: 31 July 2025

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1

Maidana, Manuel Augusto. "Desarrollo de un modelo numérico 3D en elementos finitos para las ecuaciones de Navier-Stokes : aplicaciones oceanográficas." Doctoral thesis, Universitat Politècnica de Catalunya, 2007. http://hdl.handle.net/10803/457520.

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En esta tesis se ha desarrollado y validado un modelo tridimensional de circulación costera en elementos finitos capaz de simular una región limitada del océano. La escala de longitud de las aplicaciones pueden ser del orden del ancho de la plataforma continental o menores y la escala de tiempo entre el período de las ondas de las mareas y de las ondas debidas al viento. La formulación del modelo, denominado HELIKE, está basada en las tres componentes de la ecuación de Navier-Stokes (no-hidrostáticas) y tiene en cuenta las dos componentes de la aceleración de Coriolis, (componentes normal y t
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2

Ghosh, Amrita. "Naviers-Stokes equations with Navier boundary condition." Thesis, Pau, 2018. http://www.theses.fr/2018PAUU3021/document.

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Le titre de ma thèse de doctorat est "Equations de Stokes et de Navier-Stokes avec la con- dition de Navier", où j’ai considéré l’écoulement d’un fluide newtonien visqueux, incompressible dans un domaine borné de R3. L’écoulement du fluide est décrit par les équations bien connues de Navier-Stokes, données par le système suivant ∂t − ∆u + (u • ∇)u + ∇π = 0, div u = 0 dans Ω × (0, T )u • n = 0, 2[(Du)n]τ + αuτ = 0 sur Γ × (0, T )u(0) = u0 dans Ω (0.1) dans un domaine borné Ω ⊂ R3 de frontière Γ, éventuellement non simplement connexe, de classe C1,1. La vitesse initiale u0 et le coefficient de f
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3

GALLANA, LUCA. "Statistical analysis of inhomogeneous fluctuation fields. Scalar transport in shearless turbulent mixing, effects of stratification, solar wind and solar wind-interstellar medium interaction." Doctoral thesis, Politecnico di Torino, 2016. http://hdl.handle.net/11583/2653026.

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Turbulence is a condition that can occur in a broad range of fluids, which may belong to very different physical environments, each with their own unique characteristics. Mathematical and analytical studies are generally limited by the high degree of complexity of the system, therefore, numerical/laboratory experiments and in-situ measurements play a fundamental role in the study of these phenomena. An analysis on two different anisotropic fluctuating fluid fields has been performed: both flows, while belonging to different physical contexts, are characterized by the presence of multiscale in
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4

Cai, Zhemin. "A High-order Discontinuous Galerkin Method for Simulating Incompressible Fluid-Thermal-Structural Problems." Thesis, The University of Sydney, 2018. http://hdl.handle.net/2123/20961.

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The use of discontinuous Galerkin (DG) methods to solve fluid thermal structure interaction problems in numerical modelling is known to offer several advantages. In particular, DG methods provide the flexibility of using different approximations in different elements, which makes the methods ideal for hp-adaptivity. The first objective of this thesis is to present a framework for the computation of fluid thermal structure interaction problems within both the single and multi-solid domain using DG methods on unstructured grids. The full solver consists of four main components: the incompressibl
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5

ZAMOLO, RICCARDO. "Radial Basis Function-Finite Difference Meshless Methods for CFD Problems." Doctoral thesis, Università degli Studi di Trieste, 2019. http://hdl.handle.net/11368/2991045.

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The objective of this dissertation is to investigate the numerical properties of the RBF-FD meshless approach when it is employed for the solution of CFD problems, with particular reference to fluid-flow problems defined over complex-shaped domains. This objective has been accomplished by developing a MATLAB code which is composed by several elements characterizing the meshless approach to a CFD problem. The work presented in this thesis has focused on the analysis and development of these characterizing elements which are essential in developing an innovative, robust, accurate and flexible nu
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6

BORDIGNON, ALEX LAIER. "NAVIER-STOKES EM GPU." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2006. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8928@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>Nesse trabalho, mostramos como simular um fluido em duas dimensões em um domínio com fronteiras arbitrárias. Nosso trabalho é baseado no esquema stable fluids desenvolvido por Joe Stam. A implementação é feita na GPU (Graphics Processing Unit), permitindo velocidade de interação com o fluido. Fazemos uso da linguagem Cg (C for Graphics), desenvolvida pela companhia NVidia. Nossas principais contribuições são o tratamento das múltiplas fronteiras, onde aplicamos interpolação bilinear para atingir melhores re
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7

Rejaiba, Ahmed. "Equations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier." Thesis, Pau, 2014. http://www.theses.fr/2014PAUU3050/document.

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Résumé : Cette thèse est consacrée à l'étude des équations de Stokes et de Navier-Stokes avec des conditions aux limites de Navier dans un ouvert borné de . Le manuscrit ici est composé de trois chapitres. Dans le premier, nous considérons les équations de Stokes stationnaires avec des conditions aux limites de Navier. Nous démontrons l'existence, l'unicité et la régularité de la solution d'abord dans un cadre hilbertien puis dans le cadre de la théorie . Nous traitons aussi le cas de solutions très faibles. Dans le deuxième chapitre, nous nous intéressons aux équations de Navier-Stokes avec l
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8

Cannone, Marco. "Ondelettes, paraproduits et Navier-Stokes." Paris 9, 1994. https://portail.bu.dauphine.fr/fileviewer/index.php?doc=1994PA090016.

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Dans cette thèse nous donnons quelques théorèmes d'existence et unicité de solutions mild du problème de Cauchy associe aux équations de Navier-Stokes. Dans la première partie, inspirés par une approche en ondelettes établie par P. Federbush, nous utilisons la décomposition de Littlewood-Paley pour en déduire un théorème d'existence et unicité locale de solutions mild à valeurs dans un espace de Banach abstrait de distributions. Nombreux exemples de tels espaces seront fournis, comme ceux de Lebesgue, Sobolev, Morrey-Campanato et Besov. La deuxième partie de la thèse est consacrée aux solution
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9

Mallinger, François. "Couplage adaptatif Boltzmann Navier-Stokes." Paris 9, 1996. https://portail.bu.dauphine.fr/fileviewer/index.php?doc=1996PA090042.

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Nous étudions les écoulements externes en régime semi raréfié à grands nombre de mach. Pour ce faire, nous proposons une stratégie de décomposition de domaine couplant les modèles Boltzmann et Navier-Stokes. Le couplage est réalisé par le biais de conditions aux limites. Les domaines de calcul Boltzmann et Navier-Stokes sont déterminés de manière automatique par un critère analysant la validité de la solution Navier-Stokes. Nous proposons donc un algorithme de couplage adaptatif qui prend en compte d'une part la détermination automatique des domaines, et d'autre part un algorithme de marche en
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10

Landmann, Björn. "A parallel discontinuous Galerkin code for the Navier-Stokes and Reynolds-averaged Navier-Stokes equations." [S.l. : s.n.], 2008. http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-35199.

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11

Landmann, Björn. "A parallel discontinuous Galerkin code for the Navier-Stokes and Reynolds averaged Navier-Stokes equations." München Verl. Dr. Hut, 2007. http://d-nb.info/988422433/04.

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12

Benson, D. J. A. "Finite volume solution of Stokes and Navier-Stokes equations." Thesis, University of Oxford, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302883.

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13

Allaire, Grégoire. "Homogénéisation des équations de Stokes et de Navier-Stokes." Paris 6, 1989. http://www.theses.fr/1989PA066010.

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On étudie l'homogénéisation des équations de Stokes et Navier-Stokes avec une condition aux limites de Dirichlet dans un domaine contenant de petits obstacles, qui sont d'abord supposes répartis aux noeuds d'un réseau régulier périodique. On démontre la convergence du procédé d'homogénéisation lorsque le pas du réseau tend vers zéro. On étudie le probleme homogénéisé suivant la taille des obstacles
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14

Sahin, Pinar. "Navier-stokes Calculations Over Swept Wings." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/12607618/index.pdf.

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In this study, the non-equilibrium Johnson and King Turbulence Model (JK model) is implemented in a three-dimensional, Navier-Stokes flow solver. The main program is a structured Euler/Navier-Stokes flow solver in which spatial discretization is accomplished by a finite volume formulation and a multigrid technique is used as a convergence accelerator. The aim is the validation of this in-house developed CFD (Computational Fluid Dynamics) tool with this enhanced enlarged capability in order to obtain a reliable flow solver that can solve flows over swept wings accurately. Various test cases wer
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15

Shuttleworth, Robert. "Block preconditioning the Navier-Stokes equations." College Park, Md. : University of Maryland, 2007. http://hdl.handle.net/1903/7002.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2007.<br>Thesis research directed by: Applied Mathematics and Scientific Computation Program. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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16

Gwilliam, Catherine Sarah. "Parallel algorithms for Navier-Stokes modelling." Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.357478.

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17

Lysov, Vyacheslav. "From Petrov-Einstein to Navier-Stokes." Thesis, Harvard University, 2014. http://dissertations.umi.com/gsas.harvard:11656.

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The fluid/gravity correspondence relates solutions of the incompressible Navier-Stokes equation to metrics which solve the Einstein equations. We propose propose two possible approaches to establish this correspondence: perturbative expansion for shear modes and large mean curvature expansion for algebraically special metrics.<br>Physics
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18

Neklyudov, Mikhail. "Navier-Stokes equations and vector advection." Thesis, University of York, 2006. http://etheses.whiterose.ac.uk/11011/.

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19

Patni, Kavita. "Damped Navier-Stokes equation in 2D." Thesis, University of Surrey, 2016. http://epubs.surrey.ac.uk/809731/.

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The main object to study in this thesis is the so-called damped and driven Navier-Stokes equations. These equations differ from the classical Navier-Stokes system by the presence of the extra damping term which is greater than zero, which is often referred to as the Ekman damping term and models the bottom friction in two-dimensional oceanic models.
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20

Albanez, Débora Aparecida Francisco 1984. "Continuous data assimilation for Navier-Stokes-alpha model = Assimilação contínua de dados para o modelo Navier-Stokes-alpha." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306185.

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Orientadores: Milton da Costa Lopes Filho, Helena Judith Nussenzveig Lopes<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-25T00:41:15Z (GMT). No. of bitstreams: 1 Albanez_DeboraAparecidaFrancisco_D.pdf: 3117782 bytes, checksum: 4f8e30c3d217ed3a6d26e9924d4df7ab (MD5) Previous issue date: 2014<br>Resumo: Motivados pela existênca de um número finito de parâmetros determinantes (graus de liberdade), tais como modos, nós e médias espaciais locais para sistemas dinâmicos dissipativos, prin
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21

Tryggeson, Henrik. "Analytical vortex solutions to Navier-Stokes equation." Doctoral thesis, Växjö universitet, Matematiska och systemtekniska institutionen, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-1282.

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Fluid dynamics considers the physics of liquids and gases. This is a branch of classical physics and is totally based on Newton's laws of motion. Nevertheless, the equation of fluid motion, Navier-Stokes equation, becomes very complicated to solve even for very simple configurations. This thesis treats mainly analytical vortex solutions to Navier-Stokes equations. Vorticity is usually concentrated to smaller regions of the flow, sometimes isolated objects, called vortices. If one are able to describe vortex structures exactly, important information about the flow properties are obtained. Initi
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22

Inubushi, Masanobu. "Covariant Lyapunov Analysis of Navier-Stokes Turbulence." 京都大学 (Kyoto University), 2013. http://hdl.handle.net/2433/175095.

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23

Al-Jaboori, Mustafa Ali Hussain. "Navier-Stokes equations on the β-plane". Thesis, Durham University, 2012. http://etheses.dur.ac.uk/5582/.

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Mathematical analysis has been undertaken for the vorticity formulation of the two dimensional Navier–Stokes equation on the β-plane with periodic boundary conditions. This equation describes the flow of fluid near the equator of the Earth. The long time behaviour of the solution of this equation is investigated and we show that, given a sufficiently regular forcing, the solution of the equation is nearly zonal. We use this result to show that, for sufficiently large β, the global attractor of this system reduces to a point. Another result can be obtained if we assume that the forcing is time-
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24

Ngom, Evrad Marie Diokel. "Contrôle frontière des équations de Navier-Stokes." Phd thesis, Université Claude Bernard - Lyon I, 2014. http://tel.archives-ouvertes.fr/tel-01064942.

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Cette thèse est consacrée à l'étude de problèmes de stabilisation exponentielle par retour d'état ou "feedback" des équations de Navier-Stokes dans un domaine borné Ω ⊂ Rd, d = 2 ou 3. Le cas d'un contrôle localisé sur la frontière du domaine est considéré. Le contrôle s'exprime en fonction du champ de vitesse à l'aide d'une loi de feedback non-linéaire. Celle-ci est fournie grâce aux techniques d'estimation a priori via la procédure de Faedo-Galerkin laquelle consiste à construire une suite de solutions approchées en utilisant une base de Galerkin adéquate. Cette loi de feedback assure la déc
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25

Haddon, E. W. "Numerical studies of the Navier-Stokes equations." Thesis, University of East Anglia, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.377745.

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26

Tang, Tao. "Numerical solutions of the Navier-Stokes equations." Thesis, University of Leeds, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.328961.

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27

Hachicha, Imène. "Approximations hyperboliques des équations de Navier-Stokes." Thesis, Evry-Val d'Essonne, 2013. http://www.theses.fr/2013EVRY0015/document.

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Dans cette thèse, nous nous intéressons à deux approximations hyperboliques des équations de Navier-Stokes incompressibles en dimensions 2 et 3 d'espace. Dans un premier temps, on considère une perturbation hyperbolique de l'équation de la chaleur, introduite par Cattaneo en 1949, pour remédier au paradoxe de la propagation instantanée de cette équation. En 2004, Brenier, Natalini et Puel remarquent que la même perturbation, qui consiste à rajouter ε∂tt à l'équation, intervient en relaxant les équations d'Euler. En dimension 2, les auteurs montrent que, pour des sonnées régulières et sous cert
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28

Słomka, Jonasz. "Generalized Navier-Stokes equations for active turbulence." Thesis, Massachusetts Institute of Technology, 2018. http://hdl.handle.net/1721.1/117861.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 211-227).<br>Recent experiments show that active fluids stirred by swimming bacteria or ATPpowered microtubule networks can exhibit complex flow dynamics and emergent pattern scale selection. Here, I will investigate a simplified phenomenological approach to 'active turbulence', a chaotic non-equilibrium steady-state in which the solvent flow develops a dominant vortex size. This approach generalizes the incompressible Na
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29

Silva, Felipe Wallison Chaves. "Controlabilidade para o sistema de Navier-Stokes." Universidade Federal da Paraí­ba, 2009. http://tede.biblioteca.ufpb.br:8080/handle/tede/7452.

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Made available in DSpace on 2015-05-15T11:46:23Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 490053 bytes, checksum: c9cf689fde66aed86d7eb372eeb05045 (MD5) Previous issue date: 2009-05-15<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>Cook's local infuence approach based on normal curvature is an important diagnostic tool for assessing local infuence of minor perturbations to a statistical model. However, no rigorous approach has been developed to address two fundamental issues: the selection of an appropriate perturbation and the development of infuence mea
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30

Drouet, Aurélien. "Apports de la résolution multi-blocs pour la simulation de la manoeuvrabilité des sous-marins et des bâtiments de surface." Ecole centrale de Nantes, 2011. http://www.theses.fr/2011ECDN0045.

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L'estimation des performances manoeuvrières d'un navire est une étape indispensable pour garantir la sécurité d'un navire, de ses occupants et de tout ce qui l'entoure (environnement, autres navires). L'objectif de cette thèse est d'adapter un code de calcul Navier-Stokes à surface libre afin de simuler numériquement des manoeuvres de sous-marins ou de bâtiments de surface. Les premiers chapitres de ce manuscrit sont consacrés à la définition des équations de Navier-Stokes, à leur linéarisation puis à leur discrétisation, necéssaire à leur utilisation numérique. Un bref chapitre présente ensui
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31

De, Santis Dante. "Schémas d'ordre élevé distribuant le résidu pour la résolution des équations de Navier-Stokes et Navier-Stokes moyennées (RANS)." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2013. http://tel.archives-ouvertes.fr/tel-00935419.

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Cette thèse présente la construction de schémas distribuant le résidu (RD) d'ordre très élevés, pour la discrétisation d'équations d'advection-diffusion multidimensionnelles et stationnaires sur maillages non structurés. Des schémas linéaires ainsi que des schémas non linéaires sont considérés. Une approximation de la solution polynomiale par morceaux et continue sur chaque élément est adoptée, de plus une procédure de reconstruction du gradient que celle de la solution numérique est utilisée afin d'avoir une représentation continue de la solution numérique et de son gradient. Il est montré qu
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32

Barrère, Jean. "Modélisation des écoulements de Stokes et Navier-Stokes en milieux poreux." Bordeaux 1, 1990. http://www.theses.fr/1990BOR10516.

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On etudie le passage d'ecoulements microscopiques a l'echelle du pore, regis par les equations de stokes et de navier-stokes, aux ecoulements macroscopiques dans un milieu poreux, regis par la loi de darcy. Les principaux points d'etudes sont: le passage en revue des theories de prise de moyenne et l'etablissement de l'equivalence de celles-ci et la theorie d'homogeneisation dans le cas de milieux periodiques, la determination numerique par une methode aux differences finies, de tenseurs de permeabilite dans des milieux periodiques anisotropes tridimensionnels, l'etude numerique, par une metho
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33

Wachsmuth, Daniel. "Optimal control of the unsteady Navier-Stokes equations." [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=982143419.

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34

Jiang, Ning. "Weakly compressible Navier-Stokes approximation of gas dynamics." College Park, Md. : University of Maryland, 2006. http://hdl.handle.net/1903/3883.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2006.<br>Thesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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35

Liu, Jie. "A class of efficient, stable Navier-Stokes solvers." College Park, Md. : University of Maryland, 2006. http://hdl.handle.net/1903/3695.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2006.<br>Thesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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36

Weickert, J. "Navier-Stokes equations as a differential-algebraic system." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800942.

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Nonsteady Navier-Stokes equations represent a differential-algebraic system of strangeness index one after any spatial discretization. Since such systems are hard to treat in their original form, most approaches use some kind of index reduction. Processing this index reduction it is important to take care of the manifolds contained in the differential-algebraic equation (DAE). We investigate for several discretization schemes for the Navier-Stokes equations how the consideration of the manifolds is taken into account and propose a variant of solving these equations along the
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37

Grira, Sofiane. "Les équations de Navier-Stokes nonlinéaires dans IR³." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/MQ26576.pdf.

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38

Li, Ming. "Numerical solutions for the incompressible Navier-Stokes equations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape11/PQDD_0016/NQ37725.pdf.

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39

Litton, Daniel. "Algorithmic Enhancements to the VULCAN Navier-Stokes Solver." NCSU, 2003. http://www.lib.ncsu.edu/theses/available/etd-08132003-230354/.

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VULCAN (Viscous Upwind aLgorithm for Complex flow ANalysis) is a cell centered, finite volume code used to solve high speed flows related to hypersonic vehicles. Two algorithms are presented for expanding the range of applications of the current Navier-Stokes solver implemented in VULCAN. The first addition is a highly implicit approach that uses subiterations to enhance block to block connectivity between adjacent subdomains. The addition of this scheme allows more efficient solution of viscous flows on highly-stretched meshes. The second algorithm addresses the shortcomings associated with d
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40

Sommerville, Lesley Laverne. "A Parabolized navier-stokes model for static mixers." Thesis, Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/19535.

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41

Li, Yuhong. "Asymptotical behaviour of 2D stochastic Navier-Stokes equations." Thesis, University of Hull, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.411901.

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42

Osborne, Daniel. "Navier-Stokes equations and stochastic models of turbulence." Thesis, University of Oxford, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.497064.

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43

Ryou, H. S. "Viscous/inviscid matching using imbedded Navier/Stokes equations." Thesis, Imperial College London, 1988. http://hdl.handle.net/10044/1/47236.

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44

Schäfer, Christian Thomas. "Elastohydrodynamic lubrication based on the Navier-Stokes equations." Thesis, Liverpool John Moores University, 2005. http://researchonline.ljmu.ac.uk/5788/.

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45

Newman, Christopher K. "Exponential Integrators for the Incompressible Navier-Stokes Equations." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/29340.

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We provide an algorithm and analysis of a high order projection scheme for time integration of the incompressible Navier-Stokes equations (NSE). The method is based on a projection onto the subspace of divergence-free (incompressible) functions interleaved with a Krylov-based exponential time integration (KBEI). These time integration methods provide a high order accurate, stable approach with many of the advantages of explicit methods, and can reduce the computational resources over conventional methods. The method is scalable in the sense that the computational costs grow linearly with probl
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46

Zahed, Hanadi. "Computation of bifurcations for the Navier-Stokes equations." Thesis, University of Manchester, 2010. https://www.research.manchester.ac.uk/portal/en/theses/computation-of-bifurcations-for-the-navierstokes-equations(6f5f55ac-0379-495b-8652-7baaeb117a4b).html.

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We investigate a two-dimensional boundary layer flow in a channel with a suction slot on the upper wall by solving the steady Navier-Stokes equations to compute steady state solutions and we investigate their stability using global stability analysis together with linear temporal simulation and a continuation method. Our primary aim in this work is to investigate bifurcations occurring in separated flows at large Reynolds numbers (R). Another motivation is to investigate the stability of a separated flow. The 2D steady Navier-Stokes equations in stream function(ψ)-vorticity (ω) are solved nume
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47

Montoya, Zambrano Cristhian David. "Inverse source problems and controllability for the stokes and navier-stokes equations." Tesis, Universidad de Chile, 2016. http://repositorio.uchile.cl/handle/2250/141346.

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Doctor en Ciencias de la Ingeniería, Mención Modelación Matemática<br>This thesis is focused on the Navier{Stokes system for incompressible uids with either Dirichlet or nonlinear Navier{slip boundary conditions. For these systems, we exploit some ideas in the context of the control theory and inverse source problems. The thesis is divided in three parts. In the rst part, we deal with the local null controllability for the Navier{Stokes system with nonlinear Navier{slip conditions, where the internal controls have one vanishing component. The novelty of the boundary conditions and the
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48

Bochev, Pavel B. "Least squares finite element methods for the Stokes and Navier-Stokes equations." Diss., This resource online, 1994. http://scholar.lib.vt.edu/theses/available/etd-06062008-165910/.

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49

Al, Baba Hind. "Théorie des semi-groupes pour les équations de Stokes et de Navier-Stokes avec des conditions aux limites de type Navier." Thesis, Pau, 2015. http://www.theses.fr/2015PAUU3008/document.

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Cette thèse est consacrée à l'étude théorique mathématique des équations de Stokes et de Navier-Stokes dans un domaine borné de R^3 en utilisant la théorie des semi-groupes. Trois différents types de conditions seront considérés : des conditions aux limites de Navier, de type-Navier et des conditions qui dépendent de la pression. Ce manuscrit est composé de six chapitres. Tout d'abord nous commençons par un état de l'art sur les équations de Navier-Stokes. Ensuite nous démontrons l'analyticité du semi-groupe de Stokes avec chacune des conditions ci-dessus. Ceci permet de résoudre le problème d
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50

Guzzo, Sandro Marcos. "Estudo de equações do tipo Navier-Stokes com retardo." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01092009-105829/.

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Neste trabalho estudamos a existência de soluções de equações do tipo Navier-Stokes com retardo na força externa e no termo n~ao linear. Usando a teoria de semigrupos estudamos a existência de soluções para um problema da forma \'d. SUP. dt u(t) - v\'delta\'u(t) + (F(t, \'u IND.t\'). abla)u(t) + abla p = g(t, \'u IND.t\'), em \'OMEGA\' x (0, T), div u(t) = 0 em \'OMEGA\' x (0, T), u(0, x) = \'u POT.0 (x) x PERTENCE a \' OMEGA\', u(t, x) = 0 t > 0, X \'PERTENCE A\' \' PARTIAL\' \'OMEGA\', u(t, x) =\\phi (t, x) t \'PERTENCE A\' (- \'INFINITO\', 0) x \'PERTENCE A\' \'OMEGA\', onde F9t, \'
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